Physics

Number Density Calculator

Find the number of atoms per cubic metre.

Calculated Output

Number density (1/m³) 6.02214076e+28

Formula: n = ρ·N_A ÷ M

Step-by-Step Breakdown

1. Values used:

2. Density = 2,700 kg/m³

3. Molar mass = 27 g/mol

5. Number density = 6.02214076e+281/m³

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The math behind it

n = ρ·N_A ÷ M, with molar mass M in kg/mol and Avogadro's number N_A.

Aluminium (2700 kg/m³, 27 g/mol) → about 6.0 × 10²⁸ atoms/m³.

Where is it used?

Solid-state physics, plasma physics and the mean free path calculation.